Answer: m1+m3
Step-by-step explanation: 1+3=4 and m1+m3 has the same varibles in the expression.
Answer:
t = 5 seconds
Step-by-step explanation:
It is given that, the height h, in feet of a ball above the ground is given by :
Where t is in seconds
We need to find how long does it take the ball to hit the ground? When it hits the ground, its height will be equal to 0. So,
Neglecting negative time.
It means ball will take 5 seconds to hit the ground.
Answer:
1. the two top drawings
2. B, C
Step-by-step explanation:
1. the two top drawings
2. B, C
Answer:
as in the question it is given that 50 people liked both songs 40 liked folk songs and 80 liked none of the song so we can add the number of people
50+40+80
170
Step-by-step explanation:
the people involved in the survey were 170
Imx->0 (asin2x + b log(cosx))/x4 = 1/2 [0/0 form] ,applying L'Hospital rule ,we get
= > limx->0 (2a*sinx*cosx - (b /cosx)*sinx)/ 4x3 = 1/2 => limx->0 (a*sin2x - b*tanx)/ 4x3 = 1/2 [0/0 form],
applying L'Hospital rule again ,we get,
= > limx->0 (2a*cos2x - b*sec2x) / 12x2 = 1/2
For above limit to exist,Numerator must be zero so that we get [0/0 form] & we can further proceed.
Hence 2a - b =0 => 2a = b ------(A)
limx->0 (b*cos2x - b*sec2x) / 12x2 = 1/2 [0/0 form], applying L'Hospital rule again ,we get,
= > limx->0 b*(-2sin2x - 2secx*secx.tanx) / 24x = 1/2 => limx->0 2b*[-sin2x - (1+tan2x)tanx] / 24x = 1/2
[0/0 form], applying L'Hospital rule again ,we get,
limx->0 2b*[-2cos2x - (sec2x+3tan2x*sec2x)] / 24 = 1/2 = > 2b[-2 -1] / 24 = 1/2 => -6b/24 = 1/2 => b = -2
from (A), we have , 2a = b => 2a = -2 => a = -1
Hence a =-1 & b = -2